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3 years ago

-4x + y = 4 2x + 2y =13

Mathematics

2 answers:

schepotkina [342]3 years ago

4 0

Answer: What exactly are you asking??

Step-by-step explanation:

alukav5142 [94]3 years ago

4 0

Problem 1 Answer: x = -1 + 0.25y

Show Work:

1) Solving

-4x + y = 4

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-1y' to each side of the equation.

-4x + y + -1y = 4 + -1y

5) Combine like terms: y + -1y = 0

-4x + 0 = 4 + -1y

-4x = 4 + -1y

6) Divide each side by '-4'.

x = -1 + 0.25y

7) Simplifying

x = -1 + 0.25y

Problem 2 Answer: x = 6.5 + -1y

Show Work:

1) Solving

2x + 2y = 13

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-2y' to each side of the equation.

2x + 2y + -2y = 13 + -2y

5) Combine like terms: 2y + -2y = 0

2x + 0 = 13 + -2y

2x = 13 + -2y

6) Divide each side by '2'.

x = 6.5 + -1y

7) Simplifying

x = 6.5 + -1y

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Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

Can anybody help me please

Alexus [3.1K]

Answer:

The answers follow in order, yes, no, and no.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help me find BD

Tanzania [10]

9514 1404 393

Answer:

14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

(x+4)/8 = (2x+1)/12

3(x +4) = 2(2x +1) . . . . . . multiply by 24

3x +12 = 4x +2 . . . . . . . . eliminate parentheses

10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

_____

Additional comment

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

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2 years ago

What are three ratios equvilent to 8:20

Genrish500 [490]

Answer:

see explanation

Step-by-step explanation:

Multiplying or dividing each part of the ratio gives an equivalent ratio

Given

8 : 20 ← divide both parts by 2

= 4 : 10 ← divide both parts by 2

= 2 : 5 ← ratio in simplest form

Multiply both parts by 2

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4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios

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Anon25 [30]

Answer:

Step-by-step explanation:

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